Vector spaces: Hilbert space

Related lectures (29)

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Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.

Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Introduces function spaces and Hilbert spaces, discussing inner product spaces and the importance of completeness in Hilbert spaces.

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Explores orthogonality, scalar product, and orthonormal bases in vector spaces.

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.

Covers matrix operations, scalar product, orthogonality, and bases in vector spaces.

Explores Hilbert spaces, orthonormal systems, and the Bessel inequality, emphasizing their properties and significance.

Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.